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Finding the Fourth Proportional to 13,499.63, 18,629.30 and 7,531.40

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Solution

The fourth proportional to 13,499.63, 18,629.30 and 7,531.40 is: 10,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.63 : 18,629.30 = 7,531.40 : x
  2. Step 2: Convert to fraction form
    13,499.63/18,629.30 = 7,531.40/x
  3. Step 3: Cross multiply
    13,499.63x = 18,629.30 × 7,531.40
  4. Step 4: Simplify right side
    13,499.63x = 140,304,710.02
  5. Step 5: Solve for x
    x = 140,304,710.02/13,499.63
  6. Step 6: Final answer
    x = 10,393.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.